How can you perform division of a number by 3 without utilizing arithmetic operators such as multiplication, division, addition, subtraction or modulus?

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One way to perform division of a number by 3 without utilizing arithmetic operators such as multiplication, division, addition, subtraction or modulus is by using bit manipulation.

Here's the algorithm:

1. Right-shift the input number by 1 bit (i.e. divide by 2)
2. Add the original number to the result of step 1 (i.e. multiply by 2/shifted by 1 bit)
3. Right-shift the result of step 2 by 1 bit (i.e. divide by 2 again)
4. Repeat steps 2-3 until the result is less than 3

The final result will be the quotient of the original number divided by 3.

Here's an example: Let's consider the number 9

1. Right-shift 9 by 1 bit: 1001 -> 0100 (4 in decimal)
2. Add 9 to 4: 9 + 4 = 13
3. Right-shift 13 by 1 bit: 1101 -> 0110 (6 in decimal)
4. 6 is less than 3, so the quotient of 9 divided by 3 is equal to 2.

Therefore, the answer is 2.